Most people find multiplication by a fraction easier than dividing by a fraction.
Dividing by a fraction is equivalent to multiplying by its reciprocal.
For example, 10 / (3/4) would require you to divide by 3/4. How many three-quarters in ten? Hmmm... Not that easy.
Instead, try multiplying by 4/3
Much easier: 10*(4/3) = 40/3 = 13.33...
What does reciprocal mean in fractions
The reciprocal of a fraction is when you flip the two fractions as shown . 1/8 = 8/1
The definition is the same as the definition of just about any division. Dividing by a number can be defined as multiplying by the reciprocal of the number. The reciprocal is the number which, when multiplied by a number, results in a product of 1. For example, dividing by 2 is defined as multiplying by 1/2 (since 2 x 1/2 = 1). Division can also be defined as finding a solution of an inverse multiplication problem. For example, 5 / 2 = x is equivalent to x times 2 = 5; thus, the division can be defined as finding a number that solves the multiplication. Although I didn't use mixed fractions in the above examples, the definitions are exactly the same for mixed numbers.
You basically have to learn separately how to do different things with fractions, including finding a common denominator; converting fractions to a different denominator; simplifying fractions; adding and subtracting fractions; multiplying fractions; dividing fractions.
To find the reciprocal of a fraction, you turn it upside down. So the reciprocal of 1/2 is 2/1, or just 2.
Yes. One method for dividing fractions is to multiply the numerator fraction by the reciprocal of the denominator fraction.
There is very little that is unique about the process of dividing fractions. Multiply by the reciprocal.
It is not just in fractions. In general, division can be defined as multiplication by the reciprocal. For example, dividing by 5 is the same as multiplying by 0.2. However, it is mainly in calculations with fractions that this is normally used as a practical way of doing the calculations.
It's easier to multiply the reciprocal.
This is because dividing by a number is the same as multiplying by its reciprocal.
A reciprocal is when you take the second fraction in a division problem and flip it Then change the sign to multiply. THIS ONLY WORKS WHEN YOU ARE DIVIDING FRACTIONS!
When dividing fractions, take the reciprocal of the second fraction, and multiply the first fraction by the reciprocal of the second fraction. Example: (a/b)/(c/d)=(a/b)*(d/c)
This is related to the fact that dividing by a number is the same as multiplying with the number's reciprocal.
Reciprocal just means that you flip the fraction... your fraction is -p/4 the reciprocal is 4/-p the reciprocal is extremely important when dividing fractions. because when you divide fractions you have to take the reciprocal of the bottom fraction and then multiply it to your top fraction to get your answer.
Change the second fraction to its reciprocal. Multiply them.
When dividing two fractions, multiply the first fraction by the second fraction's reciprocal. 2/3 divided by 3/4 = 2/3 x 4/3
When dividing fractions, the denominators don't matter. Multiply the first fraction by the reciprocal of the second.